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Finding the Fourth Proportional to 135,147.48, 202,706.82 and 41,643

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Solution

The fourth proportional to 135,147.48, 202,706.82 and 41,643 is: 62,460.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,147.48 : 202,706.82 = 41,643 : x
  2. Step 2: Convert to fraction form
    135,147.48/202,706.82 = 41,643/x
  3. Step 3: Cross multiply
    135,147.48x = 202,706.82 × 41,643
  4. Step 4: Simplify right side
    135,147.48x = 8,441,320,105.26
  5. Step 5: Solve for x
    x = 8,441,320,105.26/135,147.48
  6. Step 6: Final answer
    x = 62,460.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.